Three generations and a large top-quark mass

Summary

We interpret the recent discovery by MkII at the SLC that the number of massless neutrino generations is 3 to mean that the family symmetry is indeedSU(3), so that our «low energy» symmetry group isSU(2)L×U1×SU(3)c×SU(3)f, where low now means small compared to the Planck mass. A possible model with a large top-quark mass is exhibited. The model is made complete by analogy with the originalSU(3)flavor model of Gell-Mann. In fact, if the latter analogy is pursued literally, it leads tomt≅65.8−8.5+39.7 GeV. Such a value is currently still viable.

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References

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